The three-dimensional, three-state Potts Model in an External Field

TL;DR

This paper investigates the critical behavior of the 3D three-state Potts model under an external field, identifying the critical endpoint and confirming its universality class as 3D Ising through finite size scaling analysis.

Contribution

It provides the first precise determination of the critical endpoint and verifies the universality class of the transition in the 3D three-state Potts model with an external field.

Findings

Critical endpoint at (b_c, h_c) = (0.54938(2), 0.000775(10))

Verification of universality class as 3D Ising

Finite size scaling analysis on lattices up to 70^3

Abstract

We analyze the critical behaviour of the three-dimensional, three-state Potts model in the presence of an external ordering field. From a finite size scaling analysis on lattices of size up to 70**3 we determine the critical endpoint of the line of first order phase transitions as (b_c, h_c) =(0.54938(2), 0.000775(10)). We determine the relevant temperature like and symmetry breaking directions at this second order critical point and explicitly verify that it is in the universality class of the three-dimensional Ising model.